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Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the hypotenuse? b) A right triangle has a side length of and a hypotenuse of 1/4 length . What is the length of the other side? 1/3

Solve 3 Find The Length Of The Missing Sidea A Right Triangle Has A Side Length 24 Cm And 65 Cm What Is The Length Of The Hypotenuse B A Right Triangle Has A Si class=

Sagot :

Chetankachanaidn

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

A)

Formula : a² + b² = c²

2.4² + 6.5² = c²

5.76 + 42.25 = c²

c = √48.01

c ≈ 6.93

B)

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

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-Chetan K

Rubabzehra9127idn

Answer:

A)

Data:

P = 6.5 cm

B = 2.4 cm

H = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]H^{2} = 6.5^{2} cm+ 2.4^{2}[/tex] cm

=> [tex]H^{2}[/tex] = 48.01 cm

=> H = [tex]\sqrt{48.01}[/tex] cm

=> H = 6.92 cm

Ans: the length of the hypotenuse is 6.92 cm.

B)

Data:

P = [tex]\frac{1}{4}[/tex]

H = [tex]\frac{1}{3}[/tex]

B = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]\frac{1}{3}^{2}[/tex] cm = [tex]\frac{1}{4}^{2}[/tex] cm+ [tex]B^{2}[/tex]

=> 0.11 cm = 0.06 cm + [tex]B^{2}[/tex]

=> [tex]B^{2}[/tex] = 0.11 cm - 0.06 cm

=> B = [tex]\sqrt{0.05}[/tex] cm

=> B = [tex]\frac{11}{50} [/tex] cm

Ans: the length of the other side is [tex]\frac{11}{50} [/tex] cm.

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